Inverse Function

An inverse function can be defined as a function that does the opposite of what another
function does. For instance, if a function doubles a number and adds another number to it, then
the inverse of that function takes the same number, subtracts the same figure, and then divides it
(Kummer, 2020). Applying the inverse function to the result of an original function should take
the result back to its initial state. If, for instance, an inverse function tanned the number three into
number 9, then the inverse function should be able to reverse the number 9 back to number 3 and
vice versa. The input and output variables can be flipped to determine the inverse function of a
given result or function where applicable. Flipping or switching the input and output variables
can help find the output variable. One major way a function and its inverse can be related is that
they are all symmetric. If the graphs of a given function and its inverse were plotted on a single-
coordinate plane, the result would be that the two functions mirror each other across the plane.
Primary and inverse functions are also related because they have interchanged ranges and
domains. Essentially, the domain of a given function can be regarded as the range of its inverse
and vice versa. Inverse functions have various practical applications in real-world modeling
contexts. For instance, inverse functions facilitate solving unknown values and quantities related
to and by any given function. Suppose there was a function that facilitates the relationship
between temperature in degrees Fahrenheit and degrees Celsius, an inverse function can be used
to determine either of the values that may be unknown. In a real-world modeling situation, an
inverse function may be used to determine the values of either time or height when a projectile is
being launched or is yet to be launched.